Diameter 2 Properties: A Survey

Explore a comprehensive survey of diameter 2 properties in Banach spaces in this 24-minute conference talk by Olav Nygaard Dovland, presented at the Workshop on "Structures in Banach Spaces" at the Erwin Schrödinger International Institute for Mathematics and Physics. Discover the historical evolution of these properties since their emergence around the year 2000, with particular focus on how rotund diameter 2 spaces can be. Learn about significant open questions in the field, including whether it's possible to characterize Banach spaces where all subspaces possess the diameter 2 property, similar to how M-embedded spaces ensure all subspaces have very strong diameter 2 properties.